Stabilizing two-qubit entanglement with dynamically decoupled active feedback

Fuente: arXiv
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Main Authors: Greenfield, Sacha, Martin, Leigh, Motzoi, Felix, Whaley, K. Birgitta, Dressel, Justin, Levenson-Falk, Eli M.
Format: Preprint
Published: 2023
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author Greenfield, Sacha
Martin, Leigh
Motzoi, Felix
Whaley, K. Birgitta
Dressel, Justin
Levenson-Falk, Eli M.
author_facet Greenfield, Sacha
Martin, Leigh
Motzoi, Felix
Whaley, K. Birgitta
Dressel, Justin
Levenson-Falk, Eli M.
contents We propose and analyze a protocol for stabilizing a maximally entangled state of two noninteracting qubits using active state-dependent feedback from a continuous two-qubit half-parity measurement in coordination with a concurrent, non-commuting dynamical decoupling drive. We demonstrate that such a drive can be simultaneous with the measurement and feedback, while also playing a key part in the feedback protocol itself. We show that robust stabilization with near-unit fidelity can be achieved even in the presence of realistic nonidealities, such as time delay in the feedback loop, imperfect state-tracking, inefficient measurements, dephasing from $1/f$-distributed qubit-frequency noise, and relaxation. We mitigate feedback-delay error by introducing a forward-state-estimation strategy in the feedback controller that tracks the effects of control signals already in transit. More generally, the steady state is globally attractive without the need for ancillas, regardless of the error state, in contrast to most known feedback and error correction schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2308_03923
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Stabilizing two-qubit entanglement with dynamically decoupled active feedback
Greenfield, Sacha
Martin, Leigh
Motzoi, Felix
Whaley, K. Birgitta
Dressel, Justin
Levenson-Falk, Eli M.
Quantum Physics
We propose and analyze a protocol for stabilizing a maximally entangled state of two noninteracting qubits using active state-dependent feedback from a continuous two-qubit half-parity measurement in coordination with a concurrent, non-commuting dynamical decoupling drive. We demonstrate that such a drive can be simultaneous with the measurement and feedback, while also playing a key part in the feedback protocol itself. We show that robust stabilization with near-unit fidelity can be achieved even in the presence of realistic nonidealities, such as time delay in the feedback loop, imperfect state-tracking, inefficient measurements, dephasing from $1/f$-distributed qubit-frequency noise, and relaxation. We mitigate feedback-delay error by introducing a forward-state-estimation strategy in the feedback controller that tracks the effects of control signals already in transit. More generally, the steady state is globally attractive without the need for ancillas, regardless of the error state, in contrast to most known feedback and error correction schemes.
title Stabilizing two-qubit entanglement with dynamically decoupled active feedback
topic Quantum Physics
url https://arxiv.org/abs/2308.03923